English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We analyze the complexity of classically simulating continuous-time dynamicsof locally interacting quantum spin systems with a constant rate ofentanglement breaking noise. We prove that a polynomial time classicalalgorithm can be used to sample from the state of the spins when the rate ofnoise is higher than a threshold determined by the strength of the localinteractions. Furthermore, by encoding a 1D fault tolerant quantum computationinto the dynamics of spin systems arranged on two or higher dimensional grids,we show that for several noise channels, the problem of weakly simulating theoutput state of both purely Hamiltonian and purely dissipative dynamics isexpected to be hard in the low-noise regime.

Simulability transitions in continuous-time dynamics of local open quantum systems